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Finding the Third Proportional to 10,075,233 and 21,861,043

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Solution

The third proportional to 10,075,233 and 21,861,043 is: 47,433,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075,233 : 21,861,043 = 21,861,043 : x
  2. Step 2: Convert to fraction form
    10,075,233/21,861,043 = 21,861,043/x
  3. Step 3: Cross multiply
    10,075,233x = 21,861,043 × 21,861,043
  4. Step 4: Simplify right side
    10,075,233x = 477,905,201,047,849
  5. Step 5: Solve for x
    x = 477,905,201,047,849/10,075,233
  6. Step 6: Final answer
    x = 47,433,662.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.